## Abstract

We prove that for a 7-dimensional manifold M with cylindrical ends the moduli space of exponentially asymptotically cylindrical torsion-free G_{2}-structures is a smooth manifold (if non-empty), and study some of its local properties. We also show that the holonomy of the induced metric of an exponentially asymptotically cylindrical G_{2}-manifold is exactly G_{2} if and only if the fundamental group π_{1}(M) is finite and neither M nor any double cover of M is homeomorphic to a cylinder.

Original language | English |
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Pages (from-to) | 311-348 |

Number of pages | 38 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 145 |

Issue number | 2 |

Early online date | 19 May 2008 |

DOIs | |

Publication status | Published - 1 Sep 2008 |

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